Algebraic & Geometric Topology Volume 12, issue 3 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Brunnian braids on surfaces

Valery G Bardakov, Roman Mikhailov, Vladimir V Vershinin and Jie Wu

Algebraic & Geometric Topology 12 (2012) 1607–1648

DOI: 10.2140/agt.2012.12.1607

Bibliography

1	P Bellingeri, On presentations of surface braid groups, J. Algebra 274 (2004) 543 MR2043362
2	A J Berrick, F R Cohen, Y L Wong, J Wu, Configurations, braids, and homotopy groups, J. Amer. Math. Soc. 19 (2006) 265 MR2188127
3	J S Birman, Braids, links, and mapping class groups, Annals of Math. Studies 82, Princeton Univ. Press (1974) MR0375281
4	R Brown, Coproducts of crossed $P$–modules: applications to second homotopy groups and to the homology of groups, Topology 23 (1984) 337 MR770569
5	R Brown, J L Loday, Van Kampen theorems for diagrams of spaces, Topology 26 (1987) 311 MR899052
6	G Ellis, R Mikhailov, A colimit of classifying spaces, Adv. Math. 223 (2010) 2097 MR2601009
7	E Fadell, L Neuwirth, Configuration spaces, Math. Scand. 10 (1962) 111 MR0141126
8	E Fadell, J Van Buskirk, The braid groups of $E^{2}$ and $S^{2}$, Duke Math. J. 29 (1962) 243 MR0141128
9	R Gillette, J Van Buskirk, The word problem and consequences for the braid groups and mapping class groups of the $2$–sphere, Trans. Amer. Math. Soc. 131 (1968) 277 MR0231894
10	D L Gonçalves, J Guaschi, The braid groups of the projective plane, Algebr. Geom. Topol. 4 (2004) 757 MR2100679
11	G G Gurzo, The group of smooth braids, from: "XVI All-Union Algebra Conference Part 2 (Leningrad, 1981)" (editor A P Oskolkov), Akad. Nauk SSSR Mat. Inst. Leningrad. Otdel. (1981) 39 MR698950
12	D L Johnson, Towards a characterization of smooth braids, Math. Proc. Cambridge Philos. Soc. 92 (1982) 425 MR677467
13	D L Johnson, Presentations of groups, London Math. Soc. Student Texts 15, Cambridge Univ. Press (1997) MR1472735
14	H Levinson, Decomposable braids and linkages, Trans. Amer. Math. Soc. 178 (1973) 111 MR0324684
15	H Levinson, Decomposable braids as subgroups of braid groups, Trans. Amer. Math. Soc. 202 (1975) 51 MR0362287
16	J Y Li, J Wu, Artin braid groups and homotopy groups, Proc. Lond. Math. Soc. 99 (2009) 521 MR2551462
17	J Y Li, J Wu, On symmetric commutator subgroups, braids, links and homotopy groups, Trans. Amer. Math. Soc. 363 (2011) 3829 MR2775829
18	W Magnus, A Karrass, D Solitar, Combinatorial group theory: Presentations of groups in terms of generators and relations, Wiley Interscience (1966) MR0207802
19	G S Makanin, Question 6.23, from: "Kourovka Notebook (Unsolved Questions in Group Theory)" (editor V D Mazurov), Akad. Nauk SSSR Sibirsk. Otdel. Inst. Mat. (1980) 78 MR617914
20	R Mikhailov, I B S Passi, J Wu, Symmetric ideals in group rings and simplicial homotopy, J. Pure Appl. Algebra 215 (2011) 1085 MR2747240
21	J P Serre, Lie algebras and Lie groups, Lecture Notes in Math. 1500, Springer (1992) MR1176100
22	J van Buskirk, Braid groups of compact $2$–manifolds with elements of finite order, Trans. Amer. Math. Soc. 122 (1966) 81 MR0189013
23	J Wu, Combinatorial descriptions of homotopy groups of certain spaces, Math. Proc. Cambridge Philos. Soc. 130 (2001) 489 MR1816806